Polygons : Interior & Exterior Angles

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Front

What is the formula to calculate the sum of interior angles of a polygon?

Back

The sum of the interior angles of a polygon with n sides is given by the formula: (n - 2) × 180°.

Front

What is the sum of the interior angles of a nonagon?

Back

The sum of the interior angles of a nonagon (9 sides) is (9 - 2) × 180° = 1260°.

Front

What is the formula to calculate the measure of one interior angle of a regular polygon?

Back

The measure of one interior angle of a regular polygon with n sides is given by the formula: [(n - 2) × 180°] / n.

Front

What is the measure of one interior angle in a regular pentagon?

Back

The measure of one interior angle in a regular pentagon (5 sides) is 108°.

Front

What is an exterior angle of a polygon?

Back

An exterior angle of a polygon is formed by one side of the polygon and the extension of an adjacent side.

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360°.

Front

What is the measure of one exterior angle of a regular polygon?

Back

The measure of one exterior angle of a regular polygon with n sides is given by the formula: 360° / n.

Front

What is the degree of one exterior angle of a 15-gon?

Back

The degree of one exterior angle of a 15-gon is 360° / 15 = 24°.

Front

How do you find the number of sides of a polygon if you know the sum of its interior angles?

Back

To find the number of sides (n) of a polygon from the sum of its interior angles (S), use the formula: n = (S / 180°) + 2.